{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Seasonality in time series data\n",
    "\n",
    "Consider the problem of modeling time series data with multiple seasonal components with different periodicities.  Let us take the time series $y_t$ and decompose it explicitly to have a level component and two seasonal components.\n",
    "\n",
    "$$\n",
    "y_t = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t\n",
    "$$\n",
    "\n",
    "where $\\mu_t$ represents the trend or level, $\\gamma^{(1)}_t$ represents a seasonal component with a relatively short period, and $\\gamma^{(2)}_t$ represents another seasonal component of longer period. We will have a fixed intercept term for our level and consider both $\\gamma^{(2)}_t$ and $\\gamma^{(2)}_t$ to be stochastic so that the seasonal patterns can vary over time.\n",
    "\n",
    "In this notebook, we will generate synthetic data conforming to this model and showcase modeling of the seasonal terms in a few different ways under the unobserved components modeling framework."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Synthetic data creation\n",
    "\n",
    "We will create data with multiple seasonal patterns by following equations (3.7) and (3.8) in Durbin and Koopman (2012).  We will simulate 300 periods and two seasonal terms parametrized in the frequency domain having periods 10 and 100, respectively, and 3 and 2 number of harmonics, respectively.  Further, the variances of their stochastic parts are 4 and 9, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# First we'll simulate the synthetic data\n",
    "def simulate_seasonal_term(periodicity, total_cycles, noise_std=1.,\n",
    "                           harmonics=None):\n",
    "    duration = periodicity * total_cycles\n",
    "    assert duration == int(duration)\n",
    "    duration = int(duration)\n",
    "    harmonics = harmonics if harmonics else int(np.floor(periodicity / 2))\n",
    "\n",
    "    lambda_p = 2 * np.pi / float(periodicity)\n",
    "\n",
    "    gamma_jt = noise_std * np.random.randn((harmonics))\n",
    "    gamma_star_jt = noise_std * np.random.randn((harmonics))\n",
    "\n",
    "    total_timesteps = 100 * duration # Pad for burn in\n",
    "    series = np.zeros(total_timesteps) \n",
    "    for t in range(total_timesteps):\n",
    "        gamma_jtp1 = np.zeros_like(gamma_jt)\n",
    "        gamma_star_jtp1 = np.zeros_like(gamma_star_jt)\n",
    "        for j in range(1, harmonics + 1):\n",
    "            cos_j = np.cos(lambda_p * j)\n",
    "            sin_j = np.sin(lambda_p * j)\n",
    "            gamma_jtp1[j - 1] = (gamma_jt[j - 1] * cos_j\n",
    "                                 + gamma_star_jt[j - 1] * sin_j\n",
    "                                 + noise_std * np.random.randn())\n",
    "            gamma_star_jtp1[j - 1] = (- gamma_jt[j - 1] * sin_j\n",
    "                                      + gamma_star_jt[j - 1] * cos_j\n",
    "                                      + noise_std * np.random.randn())\n",
    "        series[t] = np.sum(gamma_jtp1)\n",
    "        gamma_jt = gamma_jtp1\n",
    "        gamma_star_jt = gamma_star_jtp1\n",
    "    wanted_series = series[-duration:] # Discard burn in\n",
    "\n",
    "    return wanted_series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "duration = 100 * 3\n",
    "periodicities = [10, 100]\n",
    "num_harmonics = [3, 2]\n",
    "std = np.array([2, 3])\n",
    "np.random.seed(8678309)\n",
    "\n",
    "terms = []\n",
    "for ix, _ in enumerate(periodicities):\n",
    "    s = simulate_seasonal_term(\n",
    "        periodicities[ix],\n",
    "        duration / periodicities[ix],\n",
    "        harmonics=num_harmonics[ix],\n",
    "        noise_std=std[ix])\n",
    "    terms.append(s)\n",
    "terms.append(np.ones_like(terms[0]) * 10.)\n",
    "series = pd.Series(np.sum(terms, axis=0))\n",
    "df = pd.DataFrame(data={'total': series,\n",
    "                        '10(3)': terms[0],\n",
    "                        '100(2)': terms[1],\n",
    "                        'level':terms[2]})\n",
    "h1, = plt.plot(df['total'])\n",
    "h2, = plt.plot(df['10(3)'])\n",
    "h3, = plt.plot(df['100(2)'])\n",
    "h4, = plt.plot(df['level'])\n",
    "plt.legend(['total','10(3)','100(2)', 'level'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (frequency domain modeling)\n",
    "\n",
    "The next method is an unobserved components model, where the trend is modeled as a fixed intercept and the seasonal components are modeled using trigonometric functions with primary periodicities of 10 and 100, respectively, and number of harmonics 3 and 2, respectively.  Note that this is the correct, generating model. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} & = \\mu_t \\\\\n",
    "\\gamma^{(1)}_{t} &= \\sum_{j=1}^2 \\gamma^{(1)}_{j, t} \\\\\n",
    "\\gamma^{(2)}_{t} &= \\sum_{j=1}^3 \\gamma^{(2)}_{j, t}\\\\\n",
    "\\gamma^{(1)}_{j, t+1} &= \\gamma^{(1)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\sin(\\lambda_j) + \\omega^{(1)}_{j,t}, ~j = 1, 2, 3\\\\\n",
    "\\gamma^{*, (1)}_{j, t+1} &= -\\gamma^{(1)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (1)}_{j, t}, ~j = 1, 2, 3\\\\\n",
    "\\gamma^{(2)}_{j, t+1} &= \\gamma^{(2)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\sin(\\lambda_j) + \\omega^{(2)}_{j,t}, ~j = 1, 2\\\\\n",
    "\\gamma^{*, (2)}_{j, t+1} &= -\\gamma^{(2)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (2)}_{j, t}, ~j = 1, 2\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_1)$, and  $\\omega^{(2)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_2)$, where $\\sigma_1 = 2.$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                Unobserved Components Results                                 \n",
      "==============================================================================================\n",
      "Dep. Variable:                                      y   No. Observations:                  300\n",
      "Model:                                fixed intercept   Log Likelihood               -1145.631\n",
      "                    + stochastic freq_seasonal(10(3))   AIC                           2295.261\n",
      "                   + stochastic freq_seasonal(100(2))   BIC                           2302.594\n",
      "Date:                                Tue, 24 Dec 2019   HQIC                          2298.200\n",
      "Time:                                        15:05:00                                         \n",
      "Sample:                                             0                                         \n",
      "                                                - 300                                         \n",
      "Covariance Type:                                  opg                                         \n",
      "===============================================================================================\n",
      "                                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------\n",
      "sigma2.freq_seasonal_10(3)      4.5942      0.565      8.126      0.000       3.486       5.702\n",
      "sigma2.freq_seasonal_100(2)     9.7904      2.483      3.942      0.000       4.923      14.658\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                       34.17   Jarque-Bera (JB):                 0.08\n",
      "Prob(Q):                              0.73   Prob(JB):                         0.96\n",
      "Heteroskedasticity (H):               1.17   Skew:                             0.01\n",
      "Prob(H) (two-sided):                  0.45   Kurtosis:                         3.08\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.053\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series.values, \n",
    "                                    level='fixed intercept', \n",
    "                                    freq_seasonal=[{'period': 10,\n",
    "                                                    'harmonics': 3},\n",
    "                                                   {'period': 100,\n",
    "                                                    'harmonics': 2}])\n",
    "res_f = model.fit(disp=False)\n",
    "print(res_f.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_f.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_f.plot_components()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.80901699,  0.58778525,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        , -0.58778525,  0.80901699,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.30901699,  0.95105652,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        , -0.95105652,  0.30901699,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "        -0.30901699,  0.95105652,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "        -0.95105652, -0.30901699,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.99802673,  0.06279052,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        , -0.06279052,  0.99802673,  0.        ,\n",
       "         0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        ,  0.9921147 ,\n",
       "         0.12533323],\n",
       "       [ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n",
       "         0.        ,  0.        ,  0.        ,  0.        , -0.12533323,\n",
       "         0.9921147 ]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.ssm.transition[:, :, 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Observe that the fitted variances are pretty close to the true variances of 4 and 9.  Further, the individual seasonal components look pretty close to the true seasonal components.  The smoothed level term is kind of close to the true level of 10.  Finally, our diagnostics look solid; the test statistics are small enough to fail to reject our three tests."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (mixed time and frequency domain modeling)\n",
    "\n",
    "The second method is an unobserved components model, where the trend is modeled as a fixed intercept and the seasonal components are modeled using 10 constants summing to 0 and trigonometric functions with a primary periodicities of 100 with 2 harmonics total.  Note that this is not the generating model, as it presupposes that there are more state errors for the shorter seasonal component than in reality. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} & = \\mu_t \\\\\n",
    "\\gamma^{(1)}_{t + 1} &= - \\sum_{j=1}^9 \\gamma^{(1)}_{t + 1 - j} + \\omega^{(1)}_t\\\\\n",
    "\\gamma^{(2)}_{j, t+1} &= \\gamma^{(2)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\sin(\\lambda_j) + \\omega^{(2)}_{j,t}, ~j = 1, 2\\\\\n",
    "\\gamma^{*, (2)}_{j, t+1} &= -\\gamma^{(2)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (2)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (2)}_{j, t}, ~j = 1, 2\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$, and  $\\omega^{(2)}_{j,t}$ are i.i.d. $N(0, \\sigma^2_2)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                Unobserved Components Results                                 \n",
      "==============================================================================================\n",
      "Dep. Variable:                                      y   No. Observations:                  300\n",
      "Model:                                fixed intercept   Log Likelihood               -1238.113\n",
      "                            + stochastic seasonal(10)   AIC                           2480.226\n",
      "                   + stochastic freq_seasonal(100(2))   BIC                           2487.538\n",
      "Date:                                Tue, 24 Dec 2019   HQIC                          2483.157\n",
      "Time:                                        15:05:03                                         \n",
      "Sample:                                             0                                         \n",
      "                                                - 300                                         \n",
      "Covariance Type:                                  opg                                         \n",
      "===============================================================================================\n",
      "                                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------\n",
      "sigma2.seasonal                55.2934      7.114      7.773      0.000      41.351      69.236\n",
      "sigma2.freq_seasonal_100(2)    28.6897      4.008      7.159      0.000      20.835      36.544\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                      165.59   Jarque-Bera (JB):                 1.20\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.55\n",
      "Heteroskedasticity (H):               1.27   Skew:                            -0.14\n",
      "Prob(H) (two-sided):                  0.24   Kurtosis:                         2.87\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.468\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series, \n",
    "                                    level='fixed intercept', \n",
    "                                    seasonal=10,\n",
    "                                    freq_seasonal=[{'period': 100,\n",
    "                                                    'harmonics': 2}])\n",
    "res_tf = model.fit(disp=False)\n",
    "print(res_tf.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_tf.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_tf.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plotted components look good.  However, the estimated variance of the second seasonal term is inflated from reality.  Additionally, we reject the Ljung-Box statistic, indicating we may have remaining autocorrelation after accounting for our components."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (lazy frequency domain modeling)\n",
    "\n",
    "The third method is an unobserved components model with a fixed intercept and one seasonal component, which is modeled using trigonometric functions with primary periodicity 100 and 50 harmonics. Note that this is not the generating model, as it presupposes that there are more harmonics then in reality.  Because the variances are tied together, we are not able to drive the estimated covariance of the non-existent harmonics to 0.  What is lazy about this model specification is that we have not bothered to specify the two different seasonal components and instead chosen to model them using a single component with enough harmonics to cover both.  We will not be able to capture any differences in variances between the two true components.  The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & = \\mu_t + \\gamma^{(1)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} &= \\mu_t\\\\\n",
    "\\gamma^{(1)}_{t} &= \\sum_{j=1}^{50}\\gamma^{(1)}_{j, t}\\\\\n",
    "\\gamma^{(1)}_{j, t+1} &= \\gamma^{(1)}_{j, t}\\cos(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\sin(\\lambda_j) + \\omega^{(1}_{j,t}, ~j = 1, 2, \\dots, 50\\\\\n",
    "\\gamma^{*, (1)}_{j, t+1} &= -\\gamma^{(1)}_{j, t}\\sin(\\lambda_j) + \\gamma^{*, (1)}_{j, t}\\cos(\\lambda_j) + \\omega^{*, (1)}_{j, t}, ~j = 1, 2, \\dots, 50\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                 Unobserved Components Results                                 \n",
      "===============================================================================================\n",
      "Dep. Variable:                                       y   No. Observations:                  300\n",
      "Model:                                 fixed intercept   Log Likelihood               -1101.455\n",
      "                   + stochastic freq_seasonal(100(50))   AIC                           2204.910\n",
      "Date:                                 Tue, 24 Dec 2019   BIC                           2208.204\n",
      "Time:                                         15:05:43   HQIC                          2206.243\n",
      "Sample:                                              0                                         \n",
      "                                                 - 300                                         \n",
      "Covariance Type:                                   opg                                         \n",
      "================================================================================================\n",
      "                                   coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------------------------\n",
      "sigma2.freq_seasonal_100(50)     0.7591      0.082      9.233      0.000       0.598       0.920\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                      883.25   Jarque-Bera (JB):                 0.72\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.70\n",
      "Heteroskedasticity (H):               1.00   Skew:                            -0.01\n",
      "Prob(H) (two-sided):                  0.99   Kurtosis:                         2.71\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.426\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series, \n",
    "                                    level='fixed intercept', \n",
    "                                    freq_seasonal=[{'period': 100}])\n",
    "res_lf = model.fit(disp=False)\n",
    "print(res_lf.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_lf.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_lf.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that one of our diagnostic tests would be rejected at the .05 level."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unobserved components (lazy time domain seasonal modeling)\n",
    "\n",
    "The fourth method is an unobserved components model with a fixed intercept and a single seasonal component modeled using a time-domain seasonal model of 100 constants. The process for the time series can be written as:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "y_t & =\\mu_t + \\gamma^{(1)}_t + \\epsilon_t\\\\\n",
    "\\mu_{t+1} &= \\mu_{t} \\\\\n",
    "\\gamma^{(1)}_{t + 1} &= - \\sum_{j=1}^{99} \\gamma^{(1)}_{t + 1 - j} + \\omega^{(1)}_t\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "where $\\epsilon_t$ is white noise, $\\omega^{(1)}_{t}$ are i.i.d. $N(0, \\sigma^2_1)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            Unobserved Components Results                             \n",
      "======================================================================================\n",
      "Dep. Variable:                              y   No. Observations:                  300\n",
      "Model:                        fixed intercept   Log Likelihood               -1564.378\n",
      "                   + stochastic seasonal(100)   AIC                           3130.756\n",
      "Date:                        Tue, 24 Dec 2019   BIC                           3134.054\n",
      "Time:                                15:05:58   HQIC                          3132.091\n",
      "Sample:                                     0                                         \n",
      "                                        - 300                                         \n",
      "Covariance Type:                          opg                                         \n",
      "===================================================================================\n",
      "                      coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------\n",
      "sigma2.seasonal  3.558e+05   2.96e+04     12.012      0.000    2.98e+05    4.14e+05\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                     2223.75   Jarque-Bera (JB):                25.29\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.00\n",
      "Heteroskedasticity (H):               0.49   Skew:                             0.85\n",
      "Prob(H) (two-sided):                  0.00   Kurtosis:                         3.37\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "fixed intercept estimated as 4.690\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = sm.tsa.UnobservedComponents(series,\n",
    "                                    level='fixed intercept',\n",
    "                                    seasonal=100)\n",
    "res_lt = model.fit(disp=False)\n",
    "print(res_lt.summary())\n",
    "# The first state variable holds our estimate of the intercept\n",
    "print(\"fixed intercept estimated as {0:.3f}\".format(res_lt.smoother_results.smoothed_state[0,-1:][0]))\n",
    "\n",
    "res_lt.plot_components()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The seasonal component itself looks good--it is the primary signal.  The estimated variance of the seasonal term is very high ($>10^5$), leading to a lot of uncertainty in our one-step-ahead predictions and slow responsiveness to new data, as evidenced by large errors in one-step ahead predictions and observations. Finally, all three of our diagnostic tests were rejected. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison of filtered estimates\n",
    "\n",
    "The plots below show that explicitly modeling the individual components results in the filtered state being close to the true state within roughly half a period.  The lazy models took longer (almost a full period) to do the same on the combined true state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Assign better names for our seasonal terms\n",
    "true_seasonal_10_3 = terms[0]\n",
    "true_seasonal_100_2 = terms[1]\n",
    "true_sum = true_seasonal_10_3 + true_seasonal_100_2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:50]  # After this they basically agree\n",
    "fig1 = plt.figure()\n",
    "ax1 = fig1.add_subplot(111)\n",
    "idx = np.asarray(series.index)\n",
    "h1, = ax1.plot(idx[time_s], res_f.freq_seasonal[0].filtered[time_s], label='Double Freq. Seas')\n",
    "h2, = ax1.plot(idx[time_s], res_tf.seasonal.filtered[time_s], label='Mixed Domain Seas')\n",
    "h3, = ax1.plot(idx[time_s], true_seasonal_10_3[time_s], label='True Seasonal 10(3)')\n",
    "plt.legend([h1, h2, h3], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth'], loc=2)\n",
    "plt.title('Seasonal 10(3) component')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:50]  # After this they basically agree\n",
    "fig2 = plt.figure()\n",
    "ax2 = fig2.add_subplot(111)\n",
    "h21, = ax2.plot(idx[time_s], res_f.freq_seasonal[1].filtered[time_s], label='Double Freq. Seas')\n",
    "h22, = ax2.plot(idx[time_s], res_tf.freq_seasonal[0].filtered[time_s], label='Mixed Domain Seas')\n",
    "h23, = ax2.plot(idx[time_s], true_seasonal_100_2[time_s], label='True Seasonal 100(2)')\n",
    "plt.legend([h21, h22, h23], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth'], loc=2)\n",
    "plt.title('Seasonal 100(2) component')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_s = np.s_[:100]\n",
    "\n",
    "fig3 = plt.figure()\n",
    "ax3 = fig3.add_subplot(111)\n",
    "h31, = ax3.plot(idx[time_s], res_f.freq_seasonal[1].filtered[time_s] + res_f.freq_seasonal[0].filtered[time_s], label='Double Freq. Seas')\n",
    "h32, = ax3.plot(idx[time_s], res_tf.freq_seasonal[0].filtered[time_s] + res_tf.seasonal.filtered[time_s], label='Mixed Domain Seas')\n",
    "h33, = ax3.plot(idx[time_s], true_sum[time_s], label='True Seasonal 100(2)')\n",
    "h34, = ax3.plot(idx[time_s], res_lf.freq_seasonal[0].filtered[time_s], label='Lazy Freq. Seas')\n",
    "h35, = ax3.plot(idx[time_s], res_lt.seasonal.filtered[time_s], label='Lazy Time Seas')\n",
    "\n",
    "plt.legend([h31, h32, h33, h34, h35], ['Double Freq. Seasonal','Mixed Domain Seasonal','Truth', 'Lazy Freq. Seas', 'Lazy Time Seas'], loc=1)\n",
    "plt.title('Seasonal components combined')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Conclusions\n",
    "\n",
    "In this notebook, we simulated a time series with two seasonal components of different periods.  We modeled them using structural time series models with (a) two frequency domain components of correct periods and numbers of harmonics, (b) time domain seasonal component for the shorter term and a frequency domain term with correct period and number of harmonics, (c) a single frequency domain term with the longer period and full number of harmonics, and (d) a single time domain term with the longer period.  We saw a variety of diagnostic results, with only the correct generating model, (a), failing to reject any of the tests.  Thus, more flexible seasonal modeling allowing for multiple components with specifiable harmonics can be a useful tool for time series modeling.  Finally, we can represent seasonal components with fewer total states in this way, allowing for the user to attempt to make the bias-variance trade-off themselves instead of being forced to choose \"lazy\" models, which use a large number of states and incur additional variance as a result."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
